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Finding the Fourth Proportional to 2,166, 2,988.18 and 1,419.03

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Solution

The fourth proportional to 2,166, 2,988.18 and 1,419.03 is: 1,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166 : 2,988.18 = 1,419.03 : x
  2. Step 2: Convert to fraction form
    2,166/2,988.18 = 1,419.03/x
  3. Step 3: Cross multiply
    2,166x = 2,988.18 × 1,419.03
  4. Step 4: Simplify right side
    2,166x = 4,240,317.07
  5. Step 5: Solve for x
    x = 4,240,317.07/2,166
  6. Step 6: Final answer
    x = 1,957.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.